201201211011200 has 192 divisors, whose sum is σ = 526357695013920. Its totient is φ = 75733272576000.

The previous prime is 201201211011197. The next prime is 201201211011209. The reversal of 201201211011200 is 2110112102102.

It is not an unprimeable number, because it can be changed into a prime (201201211011209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 317978339 + ... + 318610461.

Almost surely, 2^{201201211011200} is an apocalyptic number.

201201211011200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201201211011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263178847506960).

201201211011200 is an abundant number, since it is smaller than the sum of its proper divisors (325156484002720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201201211011200 is a wasteful number, since it uses less digits than its factorization.

201201211011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638015 (or 637998 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 201201211011200 its reverse (2110112102102), we get a palindrome (203311323113302).

The spelling of 201201211011200 in words is "two hundred one trillion, two hundred one billion, two hundred eleven million, eleven thousand, two hundred".